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Finding the Fourth Proportional to 212,074.32, 292,655.12 and 116,580.32

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Solution

The fourth proportional to 212,074.32, 292,655.12 and 116,580.32 is: 160,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,074.32 : 292,655.12 = 116,580.32 : x
  2. Step 2: Convert to fraction form
    212,074.32/292,655.12 = 116,580.32/x
  3. Step 3: Cross multiply
    212,074.32x = 292,655.12 × 116,580.32
  4. Step 4: Simplify right side
    212,074.32x = 34,117,827,539.24
  5. Step 5: Solve for x
    x = 34,117,827,539.24/212,074.32
  6. Step 6: Final answer
    x = 160,876.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.